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Finding the Fourth Proportional to 329,859.48, 494,869.82 and 105,219.95

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Solution

The fourth proportional to 329,859.48, 494,869.82 and 105,219.95 is: 157,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,859.48 : 494,869.82 = 105,219.95 : x
  2. Step 2: Convert to fraction form
    329,859.48/494,869.82 = 105,219.95/x
  3. Step 3: Cross multiply
    329,859.48x = 494,869.82 × 105,219.95
  4. Step 4: Simplify right side
    329,859.48x = 52,070,178,427.98
  5. Step 5: Solve for x
    x = 52,070,178,427.98/329,859.48
  6. Step 6: Final answer
    x = 157,855.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.